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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 400 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  3. 3.Find the HCF of 72 and 27.
  4. 4.Find the LCM of 15, 3 and 14.
  5. 5.Find the LCM of 12 and 10.
  6. 6.Find the HCF of 91 and 78.
  7. 7.Find the LCM of 14, 9 and 3.
  8. 8.Find the LCM of 6, 5 and 3.
  9. 9.Find the LCM of 6, 4 and 5.
  10. 10.Find the LCM of 9 and 12.
  11. 11.Find the HCF of 12 and 10.
  12. 12.Find the LCM of 5, 3 and 7.
  13. 13.Find the LCM of 42 and 24.
  14. 14.Find the LCM of 2, 4 and 10.
  15. 15.Find the HCF of 56 and 40.
  16. 16.Find the LCM of 7 and 5.
  17. 17.Find the LCM of 30 and 54.
  18. 18.Find the LCM of 6 and 14.
  19. 19.Find the LCM of 15 and 25.
  20. 20.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  21. 21.Find the HCF of 48 and 84.
  22. 22.Find the LCM of 42 and 18.
  23. 23.Find the LCM of 3, 15 and 8.
  24. 24.Find the LCM of 14 and 8.
  25. 25.Find the LCM of 4, 8 and 7.
  26. 26.Find the LCM of 5, 12 and 4.
  27. 27.Find the HCF of 21 and 15.
  28. 28.Find the LCM of 18 and 21.
  29. 29.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  30. 30.Find the LCM of 25 and 30.
  31. 31.Find the LCM of 10 and 8.
  32. 32.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  33. 33.Find the HCF of 36 and 42.
  34. 34.Find the HCF of 48 and 42.
  35. 35.Find the LCM of 3 and 2.
  36. 36.Find the HCF of 81 and 72.
  37. 37.Find the LCM of 8, 12 and 9.
  38. 38.Find the LCM of 25 and 40.
  39. 39.Find the HCF of 8 and 6.
  40. 40.Find the LCM of 21 and 18.

Answer key

  1. 27
  2. 27
  3. 9
  4. 210
  5. 60
  6. 13
  7. 126
  8. 30
  9. 60
  10. 36
  11. 2
  12. 105
  13. 168
  14. 20
  15. 8
  16. 35
  17. 270
  18. 42
  19. 75
  20. 10
  21. 12
  22. 126
  23. 120
  24. 56
  25. 56
  26. 60
  27. 3
  28. 126
  29. 18
  30. 150
  31. 40
  32. 27
  33. 6
  34. 6
  35. 6
  36. 9
  37. 72
  38. 200
  39. 2
  40. 126

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